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Published byAugust Petch Modified over 3 years ago

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**If parallel lines lie in two distinct planes, the planes must be parallel.**

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FALSE

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**Three planes can intersect at a point.**

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**TRUE (ex: corner of classroom)**

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**Three planes can intersect at a line.**

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TRUE

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**If two lines in space are not**

parallel, then they must intersect.

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FALSE (Skew lines)

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**If lines are perpendicular to the same plane, they are parallel.**

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TRUE

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**If a line is perpendicular to a line in a plane, then it is perpendicular to the plane.**

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**FALSE (Mailbox problem… must be perp**

FALSE (Mailbox problem… must be perp. to two lines in plane passing through foot)

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**If a line is perpendicular to one of two parallel planes, then it is perpendicular to the other.**

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TRUE

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**If a line is perpendicular to a plane, then it is perpendicular to all lines in the plane.**

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**FALSE (Not perp. to lines not passing through its foot)**

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**If separate planes contain skew lines, the planes are parallel.**

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FALSE

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**Two planes can intersect at a point.**

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**FALSE (planes continue infinitely)**

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**Two planes can intersect at a line.**

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**TRUE (crack at top of classroom)**

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**The union of two planes is an angle.**

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**FALSE (an angle is formed by lines – this is called a dihedral angle)**

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**Two intersecting lines can lie in more than one plane.**

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**FALSE (intersecting lines determine a plane)**

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**Two parallel lines determine a plane.**

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TRUE

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**Two skew lines determine a plane.**

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**FALSE (by definition, skew lines lie in different planes)**

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**Three points determine a plane.**

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**FALSE (must be non-collinear)**

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**If three lines are parallel, then they must be coplanar.**

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FALSE

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**In a plane, if two lines are perpendicular to the same line, they are parallel.**

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TRUE

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**In space, if two lines are perpendicular to the same line, they are parallel.**

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FALSE

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